Question

How to solve in a triangle pqr if pq=qr and l,mandn are the mid point of the side pq,qrand rp respectively prove that ln=mn?

Answer 1

GIVEN : PQ = QR , L is mid point of PQ,M is midpoint of QR and N is the mid point of PR  

PQ = QR ⇒∠PRQ =∠RPQ

PQ = 2PL

QR = 2MR

PQ = QR ⇒ PL =MR

IN ΔPLN and ΔRMN

PN  NR

∠PRQ = ∠RPQ

PL = MR

LM = MN hence its proved